Question

If we put a cool object into a preheated oven, Newton's law of heating tells us that the difference between the temperature of the oven and the temperature of the object decreases exponentially with time. The percentage rate of decrease depends on the material that is being heated. Suppose a potato initially has a temperature of 75 degrees and the oven is preheated to 375 degrees. Use the formula

D = 300 × 0.98t,
where D is the temperature difference between the oven and the potato, t is the time in minutes the potato has been in the oven, and all temperatures are measured in degrees Fahrenheit.

What is the temperature of the potato after 40 minutes? (Round your answer to the nearest degree.)
____ degrees

Answer 1

9514 1404 393

Answer:

241

Explanation:

You are being asked to evaluate ...

375 -300×0.98^40 ≈ 241 . . . . degrees

The temperature of the potato after 40 minutes is about 241 degrees.